Subgroups — #25079806

Order 11008.

646 conjugacy classes of subgroups.

The subgroup lattice has 432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145738	C₂	1	2	yes	maximal
2	#494×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#19143524	C₂	1	1	yes	maximal, characteristic
4	#19134088	C₂	1	2	yes	maximal, complemented
5	#19134087	C₂	1	2	yes	maximal, complemented
6	#19133966	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133965	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133962	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133342	C₂	1	1	yes	maximal, characteristic
10	#19133265	C₂	1	2	yes	maximal
11	C₄₃×#1670	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₁₆×D₄₃	—	2	1	no	—
13	C₂×Q₁₆×D₄₃	—	2	1	no	—
14	#14583453	C₂²	1	1	yes	characteristic
15	C₄⋊Q₈×D₄₃	C₂²	1	2	yes	—
16	#14583296	—	2	2	no	—
17	#14583279	C₂²	1	1	yes	characteristic
18	#14583278	C₂²	1	2	yes	—
19	#14583277	—	2	1	no	—
20	#14583277	—	2	1	no	—
21	#14583248	—	2	2	no	—
22	#14583231	—	2	2	no	—
23	#14583228	—	2	2	no	—
24	#14583185	C₂²	1	2	yes	—
25	#14583184	C₂²	1	2	yes	—
26	#14583181	C₂²	1	2	yes	—
27	#14583030	C₂²	1	1	yes	characteristic
28	#14583028	—	2	1	no	—
29	#14583026	C₂²	1	1	yes	characteristic
30	C₈×Dic₈₆	—	2	1	no	—
31	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
32	#14582951	C₂²	1	2	yes	—
33	#14582924	—	2	1	no	—
34	#14582921	C₂²	1	1	yes	characteristic
35	#14582853	—	2	1	no	—
36	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
37	#14582652	C₂²	1	1	yes	characteristic
38	#14582649	C₂²	1	2	yes	—
39	#14582646	C₂²	1	2	yes	—
40	#14582645	C₂²	1	2	yes	—
41	#14582644	C₂²	1	2	yes	—
42	C₄₃×#494	C₂²	1	1	yes	characteristic
43	C₄₃×#475	C₂²	1	2	yes	—
44	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
45	C₄₃×#335	C₂²	1	1	yes	characteristic
46	C₄₃×#332	C₂²	1	2	yes	—
47	C₂×Q₈×D₄₃	—	2	2	no	—
48	C₂×Dic₁₇₂	—	2	1	no	—
49	C₂×Dic₁₇₂	—	2	1	no	—
50	C₂×#10621885	—	2	2	no	—
51	C₂×#10621885	—	2	2	no	—
52	Q₁₆×D₄₃	—	4	4	no	—
53	Q₁₆×D₄₃	—	4	4	no	—
54	C₂×#10621872	—	2	1	no	—
55	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
56	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
57	#13063325	C₂³	1	2	yes	—
58	#13063324	—	2	2	no	—
59	#13063324	—	2	2	no	—
60	#13063324	D₄	1	1	yes	characteristic
61	#13063323	—	2	2	no	—
62	#13063323	D₄	1	1	yes	characteristic
63	#13063315	—	2	1	no	—
64	#13063305	D₄	1	1	yes	characteristic
65	#13063303	—	2	1	no	—
66	#13063301	D₄	1	1	yes	characteristic
67	C₄×Dic₈₆	—	2	1	no	—
68	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
69	#13063282	—	2	1	no	—
70	C₄⋊C₄×D₄₃	—	2	2	no	—
71	C₄⋊C₄×D₄₃	—	2	2	no	—
72	C₄²×D₄₃	C₂³	1	1	yes	characteristic
73	#13063257	—	2	2	no	—
74	#13063256	—	2	2	no	—
75	#13063256	—	2	2	no	—
76	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
77	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
78	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
79	Dic₄₃⋊C₈	—	2	1	no	—
80	Dic₄₃⋊C₈	—	2	1	no	—
81	Dic₄₃⋊C₈	—	2	1	no	—
82	#13063250	—	2	2	no	—
83	#13063249	—	2	2	no	—
84	#13063248	—	2	2	no	—
85	(C₂×D₄₃)⋊C₈	—	2	2	no	—
86	#13063236	—	2	1	no	—
87	#13063235	—	2	1	no	—
88	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
89	C₈×Dic₄₃	—	2	1	no	—
90	C₈×Dic₄₃	—	2	2	no	—
91	C₈×Dic₄₃	D₄	1	1	yes	characteristic
92	C₈×Dic₄₃	D₄	1	1	yes	characteristic
93	C₂×Q₁₆×C₄₃	—	2	1	no	—
94	C₂×Q₁₆×C₄₃	—	2	1	no	—
95	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
96	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
97	#106×C₄₃	—	2	2	no	—
98	C₄⋊C₈×C₄₃	—	2	1	no	—
99	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
100	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
101	#103×C₄₃	—	2	2	no	—
102	C₄×C₈×C₄₃	—	2	1	no	—
103	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
104	C₂×Q₈×C₄₃	—	2	2	no	—
105	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
106	Q₈×D₄₃	—	4	4	no	—
107	Q₈×D₄₃	—	4	4	no	—
108	C₂×C₄×D₄₃	—	4	2	no	—
109	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
110	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₄×D₄₃	#41	1	1	yes	characteristic
112	C₂×Dic₈₆	—	2	1	no	—
113	C₂×Dic₈₆	—	2	2	no	—
114	C₂×Dic₈₆	—	4	2	no	—
115	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
116	Q₁₆×C₄₃	—	4	2	no	—
117	Q₁₆×C₄₃	—	4	2	no	—
118	C₂×C₈×C₄₃	—	2	1	no	—
119	C₂×C₈×C₄₃	—	2	2	no	—
120	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
122	C₄⋊C₄×C₄₃	—	2	1	no	—
123	C₄⋊C₄×C₄₃	—	2	2	no	—
124	C₄⋊C₄×C₄₃	—	2	2	no	—
125	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₃	—	2	1	no	—
127	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
128	#10621885	—	4	4	no	—
129	#10621885	—	4	4	no	—
130	(C₂×D₄₃)⋊C₄	—	2	1	no	—
131	(C₂×D₄₃)⋊C₄	—	2	1	no	—
132	C₄⋊Dic₄₃	—	2	1	no	—
133	C₄⋊Dic₄₃	—	2	2	no	—
134	C₄⋊Dic₄₃	—	2	2	no	—
135	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
136	Dic₄₃⋊C₄	—	2	1	no	—
137	Dic₄₃⋊C₄	—	2	1	no	—
138	Dic₄₃⋊C₄	—	2	1	no	—
139	Dic₄₃⋊C₄	—	2	1	no	—
140	Dic₄₃⋊C₄	—	2	1	no	—
141	Dic₄₃⋊C₄	—	4	2	no	—
142	Dic₄₃⋊C₄	—	4	2	no	—
143	C₄×Dic₄₃	—	2	1	no	—
144	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
145	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
146	C₄×Dic₄₃	#41	1	1	yes	characteristic
147	C₂×C₄₃⋊C₈	—	2	1	no	—
148	C₂×C₄₃⋊C₈	—	2	2	no	—
149	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
150	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
151	Dic₁₇₂	—	4	2	no	—
152	Dic₁₇₂	—	4	2	no	—
153	#10621872	—	4	2	no	—
154	C₈×D₄₃	—	2	2	no	—
155	C₈×D₄₃	SD₁₆	1	4	yes	—
156	C₂²×D₄₃	#121	1	1	yes	characteristic
157	Q₈×C₄₃	—	2	1	no	—
158	Q₈×C₄₃	—	2	1	no	—
159	Q₈×C₄₃	—	4	2	no	—
160	Q₈×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	—	2	1	no	—
162	C₂×C₄×C₄₃	—	2	1	no	—
163	C₂×C₄×C₄₃	—	4	2	no	—
164	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
167	C₂×Dic₄₃	—	2	1	no	—
168	C₂×Dic₄₃	—	2	1	no	—
169	C₂×Dic₄₃	—	4	2	no	—
170	C₂×Dic₄₃	#121	1	1	yes	characteristic
171	C₂×Dic₄₃	#121	1	1	yes	characteristic
172	C₂×Dic₄₃	#121	1	1	yes	characteristic
173	C₄×D₄₃	—	2	1	no	—
174	C₄×D₄₃	—	2	1	no	—
175	C₄×D₄₃	—	2	2	no	—
176	C₄×D₄₃	—	8	4	no	—
177	C₄×D₄₃	C₂×SD₁₆	1	2	yes	—
178	C₄×D₄₃	AGL(1,ℤ/8)	1	2	yes	—
179	Dic₈₆	—	2	1	no	—
180	Dic₈₆	—	2	1	no	—
181	Dic₈₆	—	4	2	no	—
182	Dic₈₆	—	4	2	no	—
183	Dic₈₆	—	4	2	no	—
184	Dic₈₆	—	8	4	no	—
185	C₈×C₄₃	—	2	1	no	—
186	C₈×C₄₃	—	4	1	no	—
187	C₈×C₄₃	—	4	2	no	—
188	C₈×C₄₃	C₂×SD₁₆	1	2	yes	—
189	C₄₃⋊C₈	—	2	1	no	—
190	C₄₃⋊C₈	—	4	1	no	—
191	C₄₃⋊C₈	—	4	2	no	—
192	C₄₃⋊C₈	C₂×SD₁₆	1	2	yes	—
193	#19204	—	43	1	no	maximal, Sylow
194	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
195	C₂×D₄₃	—	2	1	no	—
196	C₂×D₄₃	—	2	1	no	—
197	C₂×D₄₃	#460	1	2	yes	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	4	1	no	—
201	C₄×C₄₃	—	8	2	no	—
202	C₄×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
203	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	C₄×C₄₃	#578	1	1	yes	characteristic
205	C₄×C₄₃	#578	1	1	yes	characteristic
206	Dic₄₃	—	2	1	no	—
207	Dic₄₃	—	4	1	no	—
208	Dic₄₃	—	4	1	no	—
209	Dic₄₃	—	8	2	no	—
210	Dic₄₃	#460	1	2	yes	—
211	Dic₄₃	#473	1	2	yes	—
212	#3229	—	43	2	no	—
213	C₂×#494	—	43	1	no	—
214	#2960	—	43	1	no	—
215	#1690	—	43	2	no	—
216	#1690	—	43	2	no	—
217	#1670	—	43	1	no	—
218	#1670	—	43	1	no	—
219	#1670	—	43	1	no	—
220	#1670	D₄₃	1	1	yes	characteristic, complemented
221	#1564	—	43	1	no	—
222	#1546	—	43	2	no	—
223	C₂×C₄₃	C₂×#460	1	1	yes	characteristic
224	C₂×C₄₃	#3059	1	1	yes	characteristic
225	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
226	D₄₃	—	2	2	no	—
227	C₂²×Q₁₆	—	86	1	no	—
228	C₂²×Q₁₆	—	86	1	no	—
229	#533	—	43	1	no	—
230	C₂×C₄⋊Q₈	—	43	2	no	—
231	#498	—	86	2	no	—
232	#494	—	43	2	no	—
233	#494	—	43	1	no	—
234	#494	—	86	1	no	—
235	#494	—	86	1	no	—
236	#494	C₂×D₄₃	1	1	yes	characteristic
237	#487	—	86	2	no	—
238	#483	—	86	2	no	—
239	#483	—	86	2	no	—
240	#475	—	43	2	no	—
241	#475	—	43	2	no	—
242	#475	—	43	2	no	—
243	#475	C₂×D₄₃	1	2	yes	—
244	#446	—	43	1	no	—
245	#446	—	43	1	no	—
246	#446	—	86	1	no	—
247	C₈×Q₈	—	43	1	no	—
248	C₈×Q₈	—	86	1	no	—
249	C₈×Q₈	C₂×D₄₃	1	1	yes	characteristic
250	#431	—	43	2	no	—
251	#424	—	86	1	no	—
252	#423	—	43	1	no	—
253	#405	—	86	1	no	—
254	C₂×C₄×C₈	—	43	1	no	—
255	#335	—	43	1	no	—
256	#335	C₂×D₄₃	1	1	yes	characteristic
257	#334	—	43	2	no	—
258	#332	—	43	2	no	—
259	#332	—	43	2	no	—
260	#332	—	43	2	no	—
261	#332	C₂×D₄₃	1	2	yes	—
262	C₄₃	#19204	1	1	yes	characteristic, complemented, Sylow
263	C₂²×Q₈	—	86	2	no	—
264	C₂×Q₁₆	—	2	1	no	—
265	C₂×Q₁₆	—	2	1	no	—
266	C₂×Q₁₆	—	86	2	no	—
267	C₂×Q₁₆	—	86	2	no	—
268	C₂×Q₁₆	—	86	1	no	—
269	C₂×Q₁₆	—	86	1	no	—
270	C₂×Q₁₆	—	172	4	no	—
271	C₂×Q₁₆	—	172	4	no	—
272	C₂×M₁₆	—	86	1	no	—
273	C₂²×C₈	—	43	1	no	—
274	C₂²×C₈	—	43	1	no	—
275	C₄⋊Q₈	—	43	1	no	—
276	C₄⋊Q₈	—	43	1	no	—
277	C₄⋊Q₈	—	43	2	no	—
278	C₄⋊Q₈	—	86	2	no	—
279	C₄⋊Q₈	—	86	2	no	—
280	C₄⋊Q₈	—	86	2	no	—
281	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
282	#125	—	86	1	no	—
283	C₂²⋊Q₈	—	43	1	no	—
284	C₂²⋊Q₈	—	43	1	no	—
285	C₂²⋊Q₈	—	86	1	no	—
286	C₄×Q₈	—	43	1	no	—
287	C₄×Q₈	—	86	1	no	—
288	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
289	#117	—	86	1	no	—
290	C₂×C₄⋊C₄	—	86	2	no	—
291	C₂×C₄⋊C₄	—	86	2	no	—
292	C₂×C₄²	—	43	1	no	—
293	#106	—	2	2	no	—
294	#106	—	86	2	no	—
295	#106	—	86	2	no	—
296	#106	—	86	2	no	—
297	C₄⋊C₈	—	2	1	no	—
298	C₄⋊C₈	—	43	1	no	—
299	C₄⋊C₈	—	43	2	no	—
300	C₄⋊C₈	—	86	1	no	—
301	C₄⋊C₈	—	86	1	no	—
302	C₄⋊C₈	—	86	1	no	—
303	C₄⋊C₈	—	86	1	no	—
304	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
305	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
306	#103	—	2	2	no	—
307	#103	—	86	2	no	—
308	#103	—	86	2	no	—
309	#103	—	86	2	no	—
310	C₂²⋊C₈	—	86	2	no	—
311	#97	—	86	1	no	—
312	#97	—	86	1	no	—
313	C₄×C₈	—	2	1	no	—
314	C₄×C₈	—	43	1	no	—
315	C₄×C₈	—	43	1	no	—
316	C₄×C₈	—	43	1	no	—
317	C₄×C₈	—	86	2	no	—
318	C₄×C₈	—	86	1	no	—
319	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
320	C₂×Q₈	—	2	2	no	—
321	C₂×Q₈	—	43	1	no	—
322	C₂×Q₈	—	86	1	no	—
323	C₂×Q₈	—	86	2	no	—
324	C₂×Q₈	—	172	2	no	—
325	C₂×Q₈	—	172	4	no	—
326	C₂×Q₈	—	172	4	no	—
327	C₂×Q₈	D₄×D₄₃	1	1	yes	characteristic
328	C₂²×C₄	—	43	1	no	—
329	C₂²×C₄	—	43	1	no	—
330	C₂²×C₄	—	43	1	no	—
331	C₂²×C₄	—	172	2	no	—
332	Q₁₆	—	4	2	no	—
333	Q₁₆	—	4	2	no	—
334	Q₁₆	—	172	2	no	—
335	Q₁₆	—	172	4	no	—
336	Q₁₆	—	172	4	no	—
337	Q₁₆	—	172	2	no	—
338	M₁₆	—	172	2	no	—
339	C₂×C₈	—	2	1	no	—
340	C₂×C₈	—	2	2	no	—
341	C₂×C₈	—	43	1	no	—
342	C₂×C₈	—	43	4	no	—
343	C₂×C₈	—	43	1	no	—
344	C₂×C₈	—	86	2	no	—
345	C₂×C₈	—	86	1	no	—
346	C₂×C₈	—	86	2	no	—
347	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
348	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
349	C₄⋊C₄	—	2	1	no	—
350	C₄⋊C₄	—	2	2	no	—
351	C₄⋊C₄	—	2	2	no	—
352	C₄⋊C₄	—	43	1	no	—
353	C₄⋊C₄	—	86	1	no	—
354	C₄⋊C₄	—	86	1	no	—
355	C₄⋊C₄	—	86	1	no	—
356	C₄⋊C₄	—	86	1	no	—
357	C₄⋊C₄	—	86	1	no	—
358	C₄⋊C₄	—	86	1	no	—
359	C₄⋊C₄	—	86	2	no	—
360	C₄⋊C₄	—	86	2	no	—
361	C₄⋊C₄	—	172	2	no	—
362	C₄⋊C₄	—	172	2	no	—
363	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
364	C₂²⋊C₄	—	86	1	no	—
365	C₂²⋊C₄	—	86	1	no	—
366	C₄²	—	2	1	no	—
367	C₄²	—	43	1	no	—
368	C₄²	—	43	1	no	—
369	C₄²	—	43	1	no	—
370	C₄²	—	86	1	no	—
371	C₄²	C₂³×D₄₃	1	1	yes	characteristic
372	C₂³	—	43	1	no	—
373	Q₈	—	2	1	no	—
374	Q₈	—	2	1	no	—
375	Q₈	—	4	2	no	—
376	Q₈	—	4	2	no	—
377	Q₈	—	86	1	no	—
378	Q₈	—	86	1	no	—
379	Q₈	—	344	4	no	—
380	Q₈	—	172	2	no	—
381	Q₈	—	172	2	no	—
382	Q₈	—	172	2	no	—
383	C₂×C₄	—	2	1	no	—
384	C₂×C₄	—	2	1	no	—
385	C₂×C₄	—	4	2	no	—
386	C₂×C₄	—	43	1	no	—
387	C₂×C₄	—	43	1	no	—
388	C₂×C₄	—	43	2	no	—
389	C₂×C₄	—	43	2	no	—
390	C₂×C₄	—	43	1	no	—
391	C₂×C₄	—	86	2	no	—
392	C₂×C₄	—	86	1	no	—
393	C₂×C₄	—	86	1	no	—
394	C₂×C₄	—	86	1	no	—
395	C₂×C₄	—	86	1	no	—
396	C₂×C₄	—	344	4	no	—
397	C₂×C₄	—	172	2	no	—
398	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
399	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
400	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
401	C₈	—	2	1	no	—
402	C₈	—	4	1	no	—
403	C₈	—	4	2	no	—
404	C₈	—	43	2	no	—
405	C₈	—	86	1	no	—
406	C₈	—	172	1	no	—
407	C₈	—	172	2	no	—
408	C₈	SD₁₆×D₄₃	1	2	yes	—
409	C₂²	—	43	2	no	—
410	C₂²	—	86	1	no	—
411	C₂²	—	86	1	no	—
412	C₂²	#121×D₄₃	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	4	1	no	—
415	C₄	—	4	1	no	—
416	C₄	—	8	2	no	—
417	C₄	—	43	2	no	—
418	C₄	—	43	2	no	—
419	C₄	—	86	1	no	—
420	C₄	—	344	2	no	—
421	C₄	—	172	1	no	—
422	C₄	—	172	1	no	—
423	C₄	C₂×SD₁₆×D₄₃	1	1	yes	characteristic
424	C₄	AGL(1,ℤ/8)×D₄₃	1	1	yes	characteristic
425	C₄	#14583712	1	1	yes	characteristic
426	C₄	#14583713	1	1	yes	characteristic
427	C₂	—	86	2	no	—
428	C₂	#460×D₄₃	1	1	yes	characteristic
429	C₂	#19144245	1	1	yes	characteristic
430	C₂	#473×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₄₃
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1670	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	C₂²×D₄₃	#121
hypercenter	#1670	D₄₃
hypocenter	C₄₃	#19204
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1670

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
4. #19134088	C₂	semidirect
5. #19134087	C₂	semidirect
6. #19133966	C₂	semidirect
7. #19133965	C₂	semidirect
8. #19133962	C₂	semidirect
11. C₄₃×#1670	C₂	semidirect
220. #1670	D₄₃	semidirect
262. C₄₃	#19204	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#19145738	2
#494×D₄₃	2
#19143524	2
#19134088	2
#19134087	2
#19133966	2
#19133965	2
#19133962	2
#19133342	2
#19133265	2
C₄₃×#1670	2
#19204	43